Published March 18, 2005 | Version v1
Journal article

A perturbation method for dark solitons based on a complete set of the squared Jost solutions

  • 1. Department of Physics, Hunan Normal University, Changsha 410081 (China)

Description

A perturbation method for dark solitons is developed, which is based on the construction and the rigorous proof of the complete set of squared Jost solutions. The general procedure solving the adiabatic solution of perturbed nonlinear Schroedinger+ equation, the time-evolution equation of dark soliton parameters and a formula for calculating the first-order correction are given. The method can also overcome the difficulties resulting from the non-vanishing boundary condition

Availability note (English)

Available online at http://stacks.iop.org/0305-4470/38/2399/a5_11_006.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
38
Journal Issue
11
Journal Page Range
p. 2399-2413
ISSN
0305-4470
CODEN
JPHAC5

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36046463
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CORRECTIONS; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; PERTURBATION THEORY; SCHROEDINGER EQUATION; SOLITONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS